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pro vyhledávání: '"Thompson, Katherine P."'
Autor:
Scherr, Zachary, Thompson, Katherine
In this paper we classify all monic, quartic, polynomials $d(x)\in\mathbb{Z}[x]$ for which the Pell equation $$f(x)^2-d(x)g(x)^2=1$$ has a non-trivial solution with $f(x),g(x)\in\mathbb{Z}[x]$.
Externí odkaz:
http://arxiv.org/abs/2307.04566
Let $f(t_1,\ldots,t_n)$ be a nondegenerate integral quadratic form. We analyze the asymptotic behavior of the function $D_f(X)$, the number of integers of absolute value up to $X$ represented by $f$. When $f$ is isotropic or $n$ is at least $3$, we s
Externí odkaz:
http://arxiv.org/abs/2304.07399
Autor:
Price, Geoffrey, Thompson, Katherine
For any finite field $\mathbb{F}$ and any positive integer $n$ we count the number of monic polynomials of degree $n$ over $\mathbb{F}$ with nonzero constant coefficient and a self-reciprocal factor of any specified degree. An application is given fo
Externí odkaz:
http://arxiv.org/abs/2210.15703
Autor:
Rainear, Benjamin, Thompson, Katherine
Mordell in 1958 gave a new proof of the three squares theorem. Those techniques were generalized by Blackwell, et al., in 2016 to characterize the integers represented by the remaining six "Ramanujan-Dickson ternaries". We continue the generalization
Externí odkaz:
http://arxiv.org/abs/2206.00589
Autor:
Rouse, Jeremy, Thompson, Katherine
Let $Q$ be a positive-definite quaternary quadratic form with prime discriminant. We give an explicit lower bound on the number of representations of a positive integer $n$ by $Q$. This problem is connected with deriving an upper bound on the Peterss
Externí odkaz:
http://arxiv.org/abs/2206.00412
Autor:
Stuart, Christina M., Henderson, William G., Bronsert, Michael R., Thompson, Katherine P., Meguid, Robert A.
Publikováno v:
In Surgery September 2024 176(3):841-848
Nonresponse is a common problem in survey sampling. Appropriate treatment can be challenging, especially when dealing with detailed breakdowns of totals. Often, the nearest neighbor imputation method is used to handle such incomplete multinomial data
Externí odkaz:
http://arxiv.org/abs/2202.11276
Autor:
Liu, He, Silva, Walner Costa, de Souza, Leonardo Santana Gonçalves, Veiga, Amanda Garcez, Seixas, Leandro, Fujisawa, Kazunori, Kahn, Ethan, Zhang, Tianyi, Zhang, Fu, Yu, Zhuohang, Thompson, Katherine, Lei, Yu, de Matos, Christiano J. S., Rocco, Maria Luiza M., Terrones, Mauricio, Grasseschi, Daniel
Two-dimensional materials (2DM) have attracted much interest due to their distinct optical, electronic, and catalytic properties. These properties can be by tuned a range of methods including substitutional doping or, as recently demonstrated, by sur
Externí odkaz:
http://arxiv.org/abs/2109.08734
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